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Triss [41]
4 years ago
13

How would you solve this equation? Please show steps

Mathematics
1 answer:
Serhud [2]4 years ago
4 0
Simple....

you have: 3x= \sqrt{12-12x}

So...first you know you're trying to find x..

But, you have a square root on one side...to remove this you'd have to square both sides--->>>

(3x)^{2} = \sqrt{12-12x}  ^{2}

Leaving you with....

9x^{2} =12-12x

Move the terms over and set it equal to zero.

-->>

9x^{2}+12x-12=0

Factor out a 3...

3( 3x^{2} +4x-4=0)

What multiplies to -12 and adds to 4?

6*-2=-12

6+-2=4

Leaving you with...

3(3x-2)(x+2)=0

Remember you're solving for 0....

3x-2=0

3x-2=0
    +2  +2

3x=2

\frac{3x}{3} = \frac{2}{3}

x=
\frac{2}{3}

Then-->>

x+2=0

x+2=0
  -2   -2

x=-2

Thus, your answer.
 


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Luis used compensation to find 6,572-239 compensation methods u
saveliy_v [14]

Here is the solution...

Compensation

The compensation is nothing but the process of reforming the given expression to find the answer mentally.

Here we need to rewrite the given expression in order find the answer mentally.

<u>Step 1:</u>

Here we can add 8 with 6572, so we get 6580.

<u>Step 2: </u>

Add 8 from 239, so we get 247.

<u>Step 3:</u>

We can rewrite 247 as 240 + 7

<u>Step 4:</u>

Now we can subtract 240 from 6580, so we get 6340.

We can calculate this mentally.

<u>Step 5:</u>

Finally, we can subtract 7 from 6340 mentally, So we get

6333.


Mathematically, the above expression written as

6572- 239

= 6572 + 8 - (239 + 8)

= 6580 - 247

= 6580 - (240 + 7)

= 6580 -240  - 7

= 6340 - 7

= 6333



3 0
3 years ago
What is the slope of the line in the graph? On a coordinate plane, a line goes through points (negative 2, negative 1) and (0, 1
dem82 [27]

Answer:

The slope is one.

Step-by-step explanation:

You can use the formula (y1-y2)/(x1-x2). Plugging in the points, it would be

(-1-1)/(-2-0) which simplifies to -2/-2, then just 1. You can also make a graph if you really aren't sure whether you did the problem right or make the full equation and plug the points in to make sure it checks out. :) Hope that helps?

7 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!
IrinaVladis [17]

Answer:

C , 6/15

Step-by-step explanation:

Hope it helps !!:)

7 0
3 years ago
One year, the population of a city was 397,000. Several years later it was 412,880.
artcher [175]

Answer:

4 percent increase in population

Step-by-step explanation:

percent increase = ((412,880 - 397,000)/ 397,000 ) × 100

7 0
3 years ago
Alex had 806 dinosaurs. There were 102 Velociraptors, 243 Tyrannosauruses, and the rest were Brontosauruses. There were twice as
Aleks04 [339]

Answer: 1,612 eggs

Step-by-step explanation:

Alex has a total of 806 dinosaurs. He also has twice as many eggs as he does dinosaurs.

The number of eggs is therefore:

= Number of dinosaurs * 2

= 806 * 2

= 1,612 eggs

3 0
3 years ago
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